If Bryan gives Adam 23 stickers,
the number of stickers that Bryan will have is 25% of Adam's.
If Adam gives Bryan 13 stickers,
the number of stickers that Bryan will have is 30% of Adam's.
- How many stickers does Bryan have?
- How many stickers does Adam have?
|
Scenario 1 |
Scenario 2 |
|
Bryan |
Adam |
Bryan |
Adam |
Before |
13 u + 23 |
52 u - 23 |
15 u - 13 |
50 u + 13 |
Change |
- 23 |
+ 23 |
+ 13 |
- 13 |
After |
1x13 = 13 u |
4x13 = 52 u |
3x5 = 15 u |
10x5 = 50 u |
(a)
25% =
25100 =
14 30% =
30100 =
310 The totals in both scenarios are the same.
LCM of 5 and 13 = 65
Amount that Bryan has at first in Scenario 2 = Amount that Bryan has at first in Scenario 1
15 u - 13 = 13 u + 23
15 u - 13 u = 23 + 13
2 u = 36
1 u = 36 ÷ 2 = 18
Number of stickers that Bryan has
= 13 u + 23
= 13 x 18 + 23
= 234 + 23
= 257
(b)
Number of stickers that Adam has
= 52 u - 23
= 52 x 18 - 23
= 936 - 23
= 913
Answer(s): (a) 257; (b) 913